Applications of near-infrared spectroscopy in “anaerobic” diagnostics – SmO2 kinetics reflect PCr dephosphorylation and correlate with maximal lactate accumulation and maximal pedalling rate

We investigated the relationship of the time-dependent behaviour of muscle oxygen saturation SmO2(t), phosphagen energy supply WPCr(t) and blood lactate accumulation ΔBLC(t) during a 60-s all-out cycling sprint and tested SmO2(t) for correlations with the end of the fatigue-free state tFf, maximal pedalling rate PRmax and maximal blood lactate accumulation rate v̇Lamax. Nine male elite track cyclists performed four maximal sprints (3, 8, 12, 60 s) on a cycle ergometer. Crank force and cadence were monitored continuously to determine PRmax and tFf based on force-velocity profiles. SmO2 of the vastus lateralis muscle and respiratory gases were measured until the 30th minute after exercise. WPCr was calculated based on the fast component of the post-exercise oxygen uptake for each sprint. Before and for 30 minutes after each sprint, capillary blood samples were taken to determine the associated ΔBLC. Temporal changes of SmO2, WPCr and ΔBLC were analysed via non-linear regression analysis. v̇Lamax was calculated based on ΔBLC(t) as the highest blood lactate accumulation rate. All models showed excellent quality (R2 > 0.95). The time constant of SmO2(t) τSmO2 = 2.93 ± 0.65 s was correlated with the time constant of WPCr(t) τPCr = 3.23 ± 0.67 s (r = 0.790, p < 0.012), v̇Lamax = 0.95 ± 0.18 mmol · l−1 · s−1 (r = 0.768, p < 0.017) and PRmax = 299.51 ± 14.70 rpm (r = -0.670, p < 0.049). tFf was correlated with τSmO2 (r = 0.885, p < 0.001). Our results show a time-dependent reflection of SmO2 kinetics and phosphagen energy contribution during a 60-s maximal cycling sprint. A high v̇Lamax results in a reduction, a high PRmax in an increase of the desaturation rate. The half-life of SmO2 desaturation indicates the end of the fatigue-free state.


INTRODUCTION
As an approach to the assessment of training and performance, the kinetics of skeletal muscle oxygenation are being examined more and more extensively in the laboratory and the field [1].The application of the Beer-Lambert law to near-infrared spectroscopy (NIRS) allows for non-invasive and convenient measurement of changes in local muscle tissue oxygenation [2][3][4].The procedure has been validated for use during dynamic exercise in adults [5], so that the NIRS signal obtained during exercise can be used to estimate the relationship between local O 2 supply and demand (SmO 2 ) or to describe changes in tissue blood volume at the site of O 2 exchange via changes in total haemoglobin and myoglobin mass (tHb) [6].
Since the recovery of phosphocreatine (PCr) levels in muscle following activity or ischaemia depends primarily on production of ATP by mitochondria, which, in turn, depends on oxygen availability [7][8][9][10], oxygen supply and demand as reflected in NIRS and the levels of high-energy phosphates are closely correlated [3,4] Time-point of the end of the alactic timespan, alactic timespan Time-point just before the first systematic deviation of the fatigue-free F-v profile, end of the fatigue-free state Time-point of the beginning of oxygen resaturation T TD

Exercise duration Time delay
Velocity of the crank or pedal Rate of blood lactate accumulation Maximal rate of blood lactate accumulation Initial oxygen uptake, oxygen uptake at t = 0 Oxygen uptake Amplitude of oxygen uptake Excess post-exercise oxygen consumption Oxygen consumption to replenish PCr after exercise; oxygen consumption of the fast component of EPOC Oxygen consumption of the slow component of EPOC Phosphagen energy supply, alactic energy supply production; thereafter, the rate of PCr dephosphorylation reflects the energy consumption.
Boushel et al. [15] reported a two-fold higher rate of SmO 2 desaturation during exercise than at rest under ischaemic conditions and attributed this to a greater demand for energy in combination with glycolysis.However, the exact relationship between SmO 2 , the level of PCr and glycolysis during maximal dynamic exercise, e.g., maximal bouts of cycling, remains to be elucidated.Under such conditions, we would predict a close temporal correlation between the kinetics of SmO 2 desaturation and PCr dephosphorylation, which could be influenced by the rate of glycolysis.
During exercise, the rate of ATP resynthesis is determined by the phosphorylation of ADP by enyzmatic dephosphorylation of PCr in combination with glycolytic and mitochondrial ATP production [12,16].For instance, during twitch contractions, loss of ATP is buffered through usage of PCr by creatine kinase to phosphorylate ADP [13,17].Following such a contraction, the level of PCr recovers more rapidly than during the final period of stimulation, indicating the involvement of different mechanisms [17].Chung and coworkers [17] reported that during exercise the phosphorylation status is closely coupled to the rate of glycolysis and oxidative phosphorylation.Assuming unchanged levels of creatine kinase activity, rephosphorylation of PCr depends on these two systems and deficient rephosphorylation leads to compensatory increases in mitochondrial and glycolytic ATP production [12,17].When the rate of ATP consumption changes suddenly, glycolysis, which occurs in the sarcoplasm, contributes more rapidly to the ADP/ATP gradient than mitochondrial respiration does [9].During the initial phase of muscle contraction, an increase in oxidative phosphorylation is limited until the cardiopulmonary system has adapted to supply the greater amount of oxygen in demand [18,19].
Consequently, during the first seconds of maximal exercise, the aerobic contribution to energy production is likely to be relatively small, and PCr is restored predominantly by glycolysis.As glycolysis is sensitive to pH and ATP hydrolysis during maximal exercise leads to a rapid reduction in muscle pH [20], the glycolytic flux may decline within a few seconds [12], whereas mitochondrial ATP synthesis increases with time [19].In addition, acidic conditions also favour dissociation of O 2 [19].
When sprinting maximally, the PCr consumed is rephosphorylated by creatine kinase utilizing ATP produced by glycolysis and mitochondrial respiration.From the increase in the rate of glycolysis and associated production of lactate within seconds after the start of exercise [21,22] it could be concluded that oxidation of lactate is likely to play a key role in energy equilibrium and, thereby, in SmO 2 kinetics.We hypothesize that during maximal sprint exercise, the kinetics of SmO 2 desaturation reflect those of PCr dephosphorylation and are correlated with the maximal rate of lactate accumulation v̇La max as an indirect parameter of maximal glycolytic activity.
Maximal energy flow can only be generated until PCr stores are reduced to a maximum of half [23] Insights into the physiology of sprint diagnostics with NIRS Jülich, Germany) with a 9-kg flywheel, in 7 th gear.With these settings, the pedal force decreased linearly during the initial acceleration phase and the target cadence of 120 rpm was reached after 3-4 s.
The participants were asked to accelerate as rapidly as possible from a simulated rolling start at approximately 20 rpm to 120 rpm at a self-selected time-point and to continue sprinting with maximal effort until the end of each sprint, with the investigators providing emphatic verbal encouragement throughout the entire test.30 min after the 12-s sprint, each participant performed 6 s of maximal-cadence, low-resistance cycling (the motoric test) on an ergometer [24].
The settings enabled the athletes to reach a cadence of ≥ 160 rpm within the first 3 s, which generated additional data in the high-frequency cadence range.Combination of these data with the fatiguefree rate of pedalling during the acceleration phase of each sprint allowed more valid determination of the F/v profiles [27].
Tests were separated by approximately 2 hours, during which the athletes were asked to eat a light meal, corresponding to the individual's calculated energy expenditure during the preceding test.The next test began when comparable levels of blood lactate and blood glucose were observed.

Equipment and Measurements
Data collection started from 3 minutes before the beginning of the standardized warm-up and ended 30 minutes after exercise, while participants remained seated, with as little movement as possible.
A commercially available continuous-wave NIRS device was used (Moxy Monitor; Fortiori Designs LLC, MN, USA) to continuously measure SmO 2 and tHb (total mass of haemoglobin and myoglobin) of the vastus lateralis muscle (VL), as this muscle has been used most commonly in recent studies using NIRS in cyclists [1].The sensors were fixed in place using medical adhesive tape (Hypafix; BSN Medical, DE) and covered with a compatible commercially available light shield to eliminate possible ambient light intrusion.The device uses four wavelengths (680, 720, 760 and 800 nm) to assess absorbency via the modified Beer-Lambert law resulting in a relative concentration of SmO 2 as a percentage in the following equation: oxygenated Hb + Mb / oxygenated Hb + Mb + deoxygenated Hb + Mb = SmO 2 [28].The device detectors are spaced at 12.5 mm and 25 mm from the emitter.The sampling rate was set to 0.5 Hz, which samples the four wavelengths over 10 cycles for an averaged output every second and gathered using the Idiag Moxy software (Idiag AG, CH).With the emitter-detector spacing of 25 mm, a penetration depth of 15.0 mm can be expected (ibid.).The adipose tissue thickness (ATT) of the subjects at the measurement site was individually measured and none breached the upper threshold of 15.0 mm; therefore ATT interference is considered negligible.
Net crank torque (M) and angular velocity (ω) were monitored continuously at a sample rate of 500 Hz with an SRM power meter (Schoberer Rad Messtechnik GmbH, Jülich, Germany).The average data from units of 10 Hz were used for calculations.energy flow and maximal power output seems to be well reflected by the half-life of PCr dephosphorylation, which is a function of its time constant.In our recent work, we presented a new approach to determine the end of the time interval of maximal energy flow (fatigue-free time span) the timespan up to the first systematic deviation from the fatigue-free force-velocity (F/v) profile (t Ff ) [24].Assuming a temporal overlap of the SmO 2 desaturation and PCr dephosphorylation kinetics, a correlation between t Ff and the time constant of SmO 2 can be hypothesised.
Further assuming a correlation between the maximal rate of energy, the rate of PCr dephosphorylation and muscle fibre type composition [25], with maximal pedalling rate being dependent on the proportion of fast-twitch muscle fibres in the muscles involved [26], we also predict an increase in the rate of PCr dephosphorylation and of SmO 2 desaturation with increasing pedalling rate.According to the model presented, direct measurement of SmO 2 should provide a powerful approach to assessment of changes in the levels of highenergy phosphates and lactate with time.

Participants
Nine male (21.1 ± 3.4 years, 184.9 ± 5.1 cm, 89.6 ± 6.4 kg, BFP: 13.4 ± 1.7% , V ̇O2max : 53.9 ± 4.6 ml kg −1 min −1 , P max : 1744 ± 111 W) (mean ± standard deviation) elite track cycling sprinters took part in this study.Since our study design required high-level neuromuscular and metabolic performance, only athletes who had demonstrated closely linear F/v profiles (R 2 > 0.95) in previous tests and who had shown constant performance across all races per day in track cycling sprint events at international championships were included.
Participants were requested to refrain from consuming alcohol and from intense training and asked to maintain their normal drinking and eating habits 24 h prior to the experimental session.All participants provided written informed consent for participation in this study.The study was approved by the institute's ethical committee and performed in accordance with the Declaration of Helsinki.

Exercise protocol
Each participant visited the laboratory once, completing four maximal sprints in a seated position on a cycle ergometer.As the testing protocol was similar to the daily training and competition among these track cyclists, who had also previously carried out similar performance tests in the laboratory, no additional test familiarisation was considered necessary.All participants used their own cycling shoes and pedals during these efforts.The ergometer settings resembled actual competition demands.
The participants warmed up before each sprint with 6 minutes of low-intensity cycling (1-1.5 W • kg −1 body weight), followed by a 3-s maximal sprint.Participants rested passively for 10 minutes between warm-up and testing.Four maximal sprints (3, 8, 12, 60 s) were performed in an isokinetic mode at a cadence of 120 rpm on an SRM cycle ergometer (Schoberer Rad Messtechnik GmbH, Before and directly after each sprint, as well as 1, 3, 5, 7, 10, 15, 20, 25 and 30 minutes after the 8-and 12 s-sprints, 20 µl of capillary blood was collected from the hyperaemic ear lobe for haemolysis and enzymatic-amperometric determination of lactate and glucose (Biosen, EKF Diagnostics, Magdeburg, Germany).Since accumulation of blood lactate during the 3-s test was expected to be limited and the participants had already performed a considerable number of such samplings, capillary blood was only collected during the first, third, fifth and tenth minutes following this sprint to ensure sufficient blood flow, prevent sample contamination and enhance comfort.
Respiratory gases were measured continuously with a breath-bybreath portable gas analyser (Metamax 3B, Cortex, Leipzig/Germany).Prior to each test the gas analyser was calibrated using a known concentration of gases and a 3-litre syringe following the manufacturer's recommendations.

Data processing
Raw data from the ergometer were obtained at a sample rate of 10 Hz.From these values, the mean tangential force F at both pedals, averaged over one revolution (taking into account individual crank length), as well as the corresponding pedalling rate, was derived.
To determine fatigue-free maximal pedalling rate, the fatigue- With the onset of fatigue, reflected in reduced energy production by the main propulsion muscles, the mean pedal force decreases at each cadence so that the F/v profile at time t F(v,t) is lower than the fatigue-free maximum F(v).We defined the timespan up to the first systematic deviation from F(v) by the time-point t Ff after which F(v,t) fell below and thereafter never returned to the fatigue-free maximal F(v) [24]: For equations ( 3) and (4), a time delay (TD) was used to compensate for any delays in the measurement data.
Replenishment of high-energy phosphates was estimated based on the product of the amplitude A FC and time constant τ a of the fast component (V ̇O2PCr = A FC τ a ).Phosphagen energy supply was calculated from the latter by [16,32]: (5), employing a caloric equivalent (CE) of 20.9 J ml -1 [16].
Based on W PCr of the single sprint tests, time-dependent energy contribution of the phosphagen energy system during the 60-s test was analysed with the following mono-exponential 2-parameter model by non-linear regression analysis: where W PCrTOT represents the maximum of phosphatic energy supply at time →∞ and τ PCr represents the corresponding time constant.
Since the time-point when maximal blood lactate concentration occurs is unpredictable, the dynamics of blood lactate response were calculated by non-linear regression analysis using a 3-parametermodel to determine maximal blood lactate concentration [33,34]: Mean parameters of oxygen uptake kinetics were V ̇O2A = 3.70 ± 0.44 l min −1 , τ V ̇O2 = 14.73 ± 3.00 s and V ̇O2 (0) = 0.68 ± 0.20 l min −1 with a mean R 2 of 0.85 ± 0.10.
The time-dependent quotient of changes in oxygen saturation and changes in oxygen uptake (ΔSmO 2 (t) ΔV ̇O2 (t) −1 ) was >> 1 in the relevant period of exercise (t resat < t ≤ 60 s).
Based on W PCr of the different sprint tests, the parameters of equation 6 to describe the time-dependent energy supply of the phosphagen energy system W PCr (t) were W PCrTOT = 53.02± 9.30 kJ and τ PCr = 3.23 ± 0.67 s with an R 2 of > 0.98.(7), with extra-vascular increase (A) and rate constants of BLC appearance (k 1 ) and disappearance (k 2 ).For each sprint test, corresponding ΔBLC (mmol • l −1 ) was calculated by subtraction of the maximum of BLC(t) and pre-exercise blood lactate (BLC max -BLC(0)) as described by Mader [35].
Following the model function of lactate formation rate reported by Mader [35,36], the time-dependent ΔBLC was analysed by nonlinear regression analysis using the following 3-parameter bi-exponential model: (8), where B may represent the amplitude of lactate formation rate in the muscle, k 3 and k 4 represent the time constants of appearance and disappearance of lactate in the blood and C depicts the limit value of blood lactate accumulation during maximal exercise.
t alac reflects the time delay of the onset of lactate accumulation in the blood [16], so that ΔBLC (t alac )=0.Maximal rate of lactate accumulation (v̇La max mmol l −1 s −1 ) was calculated by: where the function of the lactate accumulation rate was the derivative of ΔBLC(t).
The kinetics of oxygen uptake during the 60 s-sprint were described by Barstow & Molé [37]: (10), where V ̇O2 (t) represents the oxygen uptake at time t.V ̇O2 (0) is the initial oxygen uptake or starting value immediately before the start of exercise.V ̇O2A defines the amplitude or denotes the change between the initial and current oxygen demand.To investigate the dependence of oxygen saturation on oxygen availability, the time-dependent quotient of changes in oxygen saturations (ΔSmO 2 (t) = SmO 2 (t)/ SmO 2 (t + 1)100 [%]) and changes in oxygen uptake (ΔV ̇O2 (t)

Statistical analyses
All data were checked for normality using the Shapiro-Wilk test and are presented as mean ± SD.The Pearson product-moment correlation test was used for analysing interrelationships between variables.
Pearson's correlation coefficient r (small; r ≥ 0.1; medium: r ≥ 0.3; large: r ≥ 0.5) was employed as a measure of effect size.Statistical significance was set at an alpha level of < 0.05.Linear and nonlinear regression analysis was used to study the relationship between data.The least squares method was used in the regression analysis The mean kinetics of SmO 2 (t), W PCr (t), ΔBLC(t) and La(t) in the 60-s sprint tests are shown in Figure 4. SmO 2A showed a significant strong correlation with SmO 2Base (r = 0.911; p < 0.002).τ SmO2 was positively correlated with τ PCr (r = 0.790, p < 0.012), v̇La max (r = 0.768, p < 0.017) and t alac (r = 0.822, p < 0.001).t Ff was positively correlated with τ SmO2 (r = 0.885, p < 0.001) and τ PCr (r = 0.781, TABLE 1. Mean power output (P mean ), mean blood lactate accumulation (ΔBLC), mean parameters of excess post exercise oxygen consumption EPOC(t) and mean phosphagen energy supply (W PCr ) of the 3-, 8-, 12-and 60-s sprint test (n = 9).ing an active muscle mass of circa 30% in cycling exercises [42],

Parameters
corresponds to about 26 mmol phosphagen split per kg active wet muscle.This value is in the same order of magnitude as the total phosphagen content of the resting muscle [16].The time to maximum is in line with previous observations.Barclay [13] reported that during maximal exercise, the energy received from the phosphagen system peaks after 10-15 s.Therefore, a glycolytic and mitochondrial contribution sufficient to maintain a quasi-steady state of p < 0.008).Furthermore, a negative correlation of τ SmO2 and PR max (r = -0.670,p < 0.049) was found.
The associations between these parameters are shown in Figure 5.
Using the mean time constant of SmO 2 (t) in combination with W PCrTOT to estimate W PCr (t) results in a maximum error of 1.91 kJ.
The results of the linear regression analysis comparing the two functions at each second during the 60-second sprint are shown in Figure 6.

FIG. 2. Mean model function of EPOC(t) after the 60-s sprint test
with its fast (V ̇O2FC ) and slow components (V ̇O2SC ) and the asymptotic resting level of oxygen uptake (V ̇O2Base ).The fast component corresponds to the amount of energy gained from the dephosphorylation of high-energy phosphates during exercise.

FIG. 3.
A typical example of the data for the total mass of haemoglobin and myoglobin (tHb) with its oxygenated portion (oxHb) and for the muscle oxygen saturation data (SmO 2 ) with the calculated model SmO 2 (t) during the 60-s sprint test.SmO 2 (t) showed a very good description of the SmO 2 raw data until the middle of the test.After that, a slight increase in SmO 2 could be observed despite the athlete's maximal effort.The level of tHb was almost constant throughout the sprint.This phenomenon could be observed in all athletes.

Insights into the physiology of sprint diagnostics with NIRS
The correlation of the time constants τ SmO2 and τ PCr and the high agreement of the time courses indicate a close relationship between PCr dephosphorylation and SmO 2 desaturation in maximal cycling sprints.This statement is supported in contemporary exercise physiological literature [4,42,43].If the O 2 stored in the tissue primarily serves PCr resynthesis between twitch contractions during exercise, the SmO 2 desaturation rate should depend on the PCr dephosphorylation rate [7,9].This is in line with di Prampero [41] and Francescato and colleagues [44], who described a transfer of which, applied to our data, corresponds to approximately 40-45%, the temporal proximity of these parameters seems plausible.
ΔBLC(t) was described by a bi-exponential function using t alac to describe the delayed onset of blood lactate accumulation [41].After a mean t alac of 2.09 s, ΔBLC(t) rises steeply in an approximately linear manner until the tenth to twelfth second of exercise.After 10-12 s the increase in blood lactate accumulation is reduced, reflecting a sudden decrease of glycolytic activity caused by pH reduction in the active muscle cells [12,20].Extrapolated ΔBLC for 30 s of maximum effort is in accordance to the values reported by Beneke et al. [45] and Leithäuser et al. [46], which provides confirmation of model validity.
The onset of sudden significant reduction of lactate accumulation seems to coincide with the time-point when PCr dephosphorylation and SmO 2 desaturation approach their respective plateaus (see Fig-  [48,49], the correlation between τ SmO2 and τ PCr as well as PR max and the muscle fibre spectrum seems plausible.
Although the potential for a high rate of glycolysis increases with the proportion of fast fibres [25], no correlation between PR max and v̇La max was found within this sample of elite power athletes.This result suggests that the specific enzyme activity required for high glycolytic energy flow is not exclusively morphologically determined, but represents a specific training adaptation.
The previously described sudden resaturation of SmO 2 in the VL after approximately 30 s of maximal exercise could be a multifactorial phenomenon reflecting the onset of a decrease in the active muscle fibre spectrum in the muscle, the delayed response of the cardiovascular system to rapid changes in peripheral energy demand and the haemodynamics of the capillary beds to maintain oxygen supply to the muscle.
Thomas and Victor [19] reported that a kind of contraction-induced sympathetic ischaemic state prevails in the muscles, which does not allow the influx of oxygenated blood for the very first seconds of maximal exercise.If this was the case, resaturation of SmO 2 in the working muscle would not be possible initially.With accumulation of metabolites in the interstitial fluid (K+ , lactate) [40], vasomotor relaxation occurs, mediated by the endogenous vasodilator nitric oxide (NO), attenuating sympathetic vasoconstriction in active muscles and contributing to greater hyperaemia during exercise [19].
Although such an effect cannot be excluded, our results do not indicate any significant reduction of blood flow and thus no restriction of oxygen availability during exercise due to temporary ischaemic states.Thus, a non-significant and time-related non-systematic change in tHb by a maximum of < 2% could be detected.
Although V ̇O2 (t) increased exponentially from the initial value of ~15% to ~85% of the athletes' V ̇O2max during the 60-s sprint, oxygen uptake kinetics cannot explain the sudden resaturation of SmO The relationship of resaturation rate and changes in oxygen uptake indicates a decoupling of resaturation and oxygen uptake in the second half of exercise (ΔSmO 2 (t) > 100%, ΔV ̇O2 (t) < 100% 30 < t ≤ 60 s).From our results, we suggest that the resaturation during exercise is neither an effect of blood flow restriction nor a delayed response of the cardiovascular system to rapid changes in peripheral energy demand.
Considering the exponential decrease in maximal power output [29] and the reported exponential increase in blood lactate concentration, it can be speculated that the progressive increase in resaturation of Hb and Mb from mid-exercise onwards may reflect the onset of rephosphorylation of PCr in fatigued high-glycolytic IIx fibres, which no longer contribute to power output [29,50].
The assumption that resaturation during maximal exercise is an indication of a decrease in the number of working motor units in the dominant working muscles is also supported by the findings of Vasquez-Bonilla et al. [40].In a repeated sprint protocol, a decrease in desaturation amplitude was observed in elite female football players with a simultaneous decrease in sprint performance in each bout.This is consistent with our observations of NIRS signalling during repeated cycling sprints.
Finally, Figure 7 illustrates the possible interpretation of SmO 2 kinetics based on the results of our study.

LIMITATIONS
The study is based on a considerable amount of mathematical mod- with suggested interpretation of characteristic point in times: At the onset of maximal exercise the rate of PCr split reflects the energy demand of the working muscle [16,17].About the have of the PCr stored in the muscle can be depleted without significant changes in ATP depletion rate and ATP concentration in the working muscle [16].Assuming that glycolytic and oxidative ATP resynthesis is activated by the cell's ADP concentration or phosphorylation deficit, a subsequent rapid increase in ADP or Cr will then activate glycolytic and mitochondrial ATP resynthesis to compensate for an increased rate of dephosphorylation [12].The higher the rate of glycolytic and mitochondrial rephosphorylation, the slower the rate of PCr dephosphorylation subsequently.Due to the comparatively low glycolytic and the even lower oxidative ATP resynthesis rate -especially at the beginning of maximal exercise -the energy flow in the muscle cell continuously decreases, which leads to a corresponding continuous decrease in muscle performance.Although oxidative phosphorylation subsequently continues to increase until the cardiopulmonary system has adapted to the maximal energy demand, an exponential decrease in maximal power output can be observed [29].This is due to a successive decrease in glycolytic energy flux with decreasing cell pH, resulting in a decrease in active muscle mass when energy flux falls below the minimum demand required for excitability and muscle contraction, especially in dominant phosphagenic and glycolytic type IIx muscle fibres.If SmO 2 always reflects the balance between oxygen demand and supply of a muscle, the sudden resaturation of SmO 2 at the midpoint of the sprints could indicate a decrease in total PCr restoring demand and therefore a decrease in the active muscle mass (see Figure 3).
. The time span for maximal Biology of Sport, Vol.40 No4, 2023 1021 free force-velocity (F/v) profile was created based on the pedalling rate and corresponding mean crank force during the first 3-4 cycles of pedalling (≤ 3 s in duration, data point in the cadence range from 30 to 120 rpm) in each sprint, during which the crank force decreased linearly.As recommended by Dunst et al. [27, 29] 1 or 2 revolutions with very high pedalling rate (data point in the cadence range ≥ 160 rpm) attained during the first 3 s of the motoric test and its corresponding mean crank force were incorporated into these calculations.The data points with the best F/v relationship were selected.Since pedalling rate is directly proportional to the tangential speed of motion at the pedal, the F/v profile was based on pedalling rate (as specific movement velocity) and corresponding mean crank force F [29].Parameters of the linear model function (1), were determined by linear regression analysis and characterise the fatigue-free relationship between mean pedal force (N) and specific movement velocity v (rpm) (ibid.).Maximal pedalling rate was calculated as PR max = -b a −1 .
(2), where s=0 represents the initiation and T the termination of each performance test Parameters of the exponential model function of SmO 2 (t) were determined by non-linear regression analysis based on the SmO 2 data of the participants' 60-s-sprint [30]: (3), with SmO 2base as the resting level before the start of a sprint, SmO 2A as the amplitude of the Sm O2 drop and τ SmO2 as the time constant of desaturation.For each sprint test, excess post-exercise oxygen consumption (V ̇O2EPOC ) was determined by non-linear regression analysis using the following bi-exponential 4-parameter model to establish the phosphagen energy supply [31]: (4), where A FC and B SC represent the amplitudes of the fast component (associated with post-exercise resynthesis of creatine phosphate) and the slow component (associated with post-exercise lactate oxidation), τa and τb the corresponding time constants and V ̇O2Base the asymptotic resting oxygen uptake at time →∞.

RESULTSFigure 1
Figure1illustrates the time-course of power output, oxygen uptake and blood lactate concentration in an exemplary 60-s test.After the initial acceleration phase, the athletes reached the specified cadence of 120 rpm within the first 4 s in all sprint tests.To control the quality of the performance within the tests, individual fatigue-free F/v profiles were compared.No statistically significant differences were found.Considering only the best F/v profile of each athlete (the profile with the highest calculated maximal power output), mean maximal force was 1343 ± 107 N and mean maximal cadence was 300 ± 15 rpm.The slope of the F/v profile was a = -4.51± 0.53 N rpm −1 .The coefficient of determination R 2 for the F/v profile was calculated to be ≥ 0.99 for all athletes.The time-point immediately before the first systematic deviation from the fatigue free F/v profile was located at t Ff = 2.06 ± 0.32 s.Mean power output, ΔBLC and the model parameters of EPOC(t)of the different sprint tests are shown in Table1.The average R 2 of all EPOC-models was 0.90 ± 0.03.The mean EPOC(t) of a 60-s test with the different components is illustrated in Figure 2. Mean model parameters of oxygen desaturation (equation 3) of the VL were SmO 2Base = 75.13± 8.60%, SmO 2A = 65.94 ± 9.36% and τ SmO2 = 2.93 ± 0.65 s.An R 2 > 0.99 was calculated.The timepoint at which modelled ΔSmO 2 (t) started to increase systematically above 100% and therefore SmO 2 values differ from the model function was t resat = 32.60 ± 4.96 s.An example of SmO 2 data and the determined model SmO 2 (t) of an athlete's 60-s sprint test is shown in Figure 3. tHb values ranged between 12.95 ± 0.33 mg dl −1 and 12.74 ± 0.31 mg dl −1 with 0.22 mg dl −1 as the largest difference observed.The maximal value of tHb was reached at 24.8 ± 22.8 s, the minimal value at 15.3 ± 16.0 s, not indicating any time-dependent systematics.
to determine the model parameters and time delays of the various model functions.The absolute difference was used to determine the Based on ΔBLC of the different sprint tests, the parameters of equation 8 describing the time-dependent blood lactate accumulation ΔBLC(t) were B = 1.59 ± 0.40 mmol • l −1 • s −1 , k 3 = 0.07 ± 0.02 s, k 4 = 0.62 ± 0.28 s and C = 18.78 ± 2.99 mmol • l −1 with an R 2 of > 0.99.t alac was determined at 2.09 ± 0.41 s.Mean maximal rate of lactate accumulation was v̇La max = 0.95 ± 0.18 mmol • l −1 • s-1 .

FIG. 4 .FIG. 5 .FIG. 6 .
FIG. 4.Mean time-dependent O 2 saturation of the vastus lateralis muscle (SmO 2 (t)), mean time-dependent blood lactate accumulation (ΔBLC(t)) and mean time-dependent phosphagen energy supply (W PCr (t)) during the 60-s sprint test.By visual comparison, a high correlation of the kinetics can be assumed, which could be confirmed statistically.

O 2 from
Hb on Mb on the working muscle with the onset of exercise.The differences of the time constants calculated in this study could be explained by measurement inaccuracies (especially in determination of the fast component of EPOC, which represents the greatest uncertainty in this study), the difference between local and systemic measurement or by the additional inhibiting influence of high glycolytic activity on PCr dephosphorylation state, whereas the shift of the cell pH to acidic due to high ATP hydrolysis additionally favours O 2 dissociation [19].Our results indicate that the time-point immediatley before the first systematic deviation from the fatigue-free F/v profile could reflect the half-life SmO 2 and W PCr and could indicate the onset of accumulation of lactate in the blood.Assuming an activation of glycolytic and oxidative ATP resynthesis after a depletion of 10-12 mmol PCr [16],

ure 7 )
. A positive correlation between the maximal lactate accumulation rate and the time constant of O 2 desaturation of the VL was observed.The higher v̇La max , the higher τ SmO2 and the longer it takes for the SmO 2 desaturation to reach a steady state.Considering the correlation of SmO 2 desaturation and PCr dephosphorylation, a higher v̇La max representing a higher rate of PCr replenishment via glycolysis between twitch contractions can be assumed, reducing the need for oxidative rephosphorylation of PCr due to a smaller initial alactic debt in the dominant working muscle.Hautier et al. [26] and Hansen et al. [47] found a positive correlation in the proportion of fast glycolytic IIx muscle fibres in the VL with maximal pedalling rate.A significant correlation between the maximal pedalling rate and the time constant of SmO 2 desaturation was found.As fast contracting glycolytic muscle fibres have the highest ATPase activity, highest maximal energy flow rate and the fastest dephosphorylation of PCr 2 after ~ 30 s of exercise, which, at a nearly constant tHb, has to represent a resaturation of Hb and Mb in the VL.The V ̇O2 (t) time constant (τ V ̇O2 ~ 15 s) leads to a steep increase in oxygen uptake during the first 15 s of maximal sprinting.After 30 s of exercise, about 90% of the V ̇O2peak was reached.In the second half of the sprint, oxygen uptake only increased by < 10% with increments of < 0.75% s −1 .

FIG. 7 .
FIG. 7. Visualisation of the mean time courses of oxygen saturation SmO 2 (t) [%], time-dependent anaerobic alactic energy contribution W PCr (t) [kJ], time-dependent blood lactate accumulation ΔBLC(t) [mmol • l −1 ] and resulting lactate formation rate v̇La(t) [mmol • l −1 • s −1 ]with suggested interpretation of characteristic point in times: At the onset of maximal exercise the rate of PCr split reflects the energy demand of the working muscle[16,17].About the have of the PCr stored in the muscle can be depleted without significant changes in ATP depletion rate and ATP concentration in the working muscle[16].Assuming that glycolytic and oxidative ATP resynthesis is activated by the cell's ADP concentration or phosphorylation deficit, a subsequent rapid increase in ADP or Cr will then activate glycolytic and mitochondrial ATP resynthesis to compensate for an increased rate of dephosphorylation[12].The higher the rate of glycolytic and mitochondrial rephosphorylation, the slower the rate of PCr dephosphorylation subsequently.Due to the comparatively low glycolytic and the even lower oxidative ATP resynthesis rate -especially at the beginning of maximal exercise -the energy flow in the muscle cell continuously decreases, which leads to a corresponding continuous decrease in muscle performance.Although oxidative phosphorylation subsequently continues to increase until the cardiopulmonary system has adapted to the maximal energy demand, an exponential decrease in maximal power output can be observed[29].This is due to a successive decrease in glycolytic energy flux with decreasing cell pH, resulting in a decrease in active muscle mass when energy flux falls below the minimum demand required for excitability and muscle contraction, especially in dominant phosphagenic and glycolytic type IIx muscle fibres.If SmO 2 always reflects the balance between oxygen demand and supply of a muscle, the sudden resaturation of SmO 2 at the midpoint of the sprints could indicate a decrease in total PCr restoring demand and therefore a decrease in the active muscle mass (see Figure3).